Q: What are the factor combinations of the number 24,747,517?

 A:
Positive:   1 x 2474751723 x 107597931 x 79830761 x 405697569 x 43493713 x 347091403 x 176391891 x 13087
Negative: -1 x -24747517-23 x -1075979-31 x -798307-61 x -405697-569 x -43493-713 x -34709-1403 x -17639-1891 x -13087


How do I find the factor combinations of the number 24,747,517?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 24,747,517, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 24,747,517
-1 -24,747,517

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 24,747,517.

Example:
1 x 24,747,517 = 24,747,517
and
-1 x -24,747,517 = 24,747,517
Notice both answers equal 24,747,517

With that explanation out of the way, let's continue. Next, we take the number 24,747,517 and divide it by 2:

24,747,517 ÷ 2 = 12,373,758.5

If the quotient is a whole number, then 2 and 12,373,758.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 24,747,517
-1 -24,747,517

Now, we try dividing 24,747,517 by 3:

24,747,517 ÷ 3 = 8,249,172.3333

If the quotient is a whole number, then 3 and 8,249,172.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 24,747,517
-1 -24,747,517

Let's try dividing by 4:

24,747,517 ÷ 4 = 6,186,879.25

If the quotient is a whole number, then 4 and 6,186,879.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 24,747,517
-1 24,747,517
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

12331615697131,4031,89113,08717,63934,70943,493405,697798,3071,075,97924,747,517
-1-23-31-61-569-713-1,403-1,891-13,087-17,639-34,709-43,493-405,697-798,307-1,075,979-24,747,517

More Examples

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